Electric S-brane solutions corresponding to rank-2 Lie algebras: acceleration and small variation of G

Abstract

Electric S-brane solutions with two non-composite electric branes and a set of l scalar fields are considered. The intersection rules for branes correspond to Lie algebras A_2, C_2 and G_2. The solutions contain five factor spaces. One of them, M_0, is interpreted as our 3-dimensional space. It is shown that there exists a time interval where accelerated expansion of our 3-dimensional space is compatible with a small enough variation of the effective gravitational constant G(τ). This interval contains τ_0, a point of minimum of the function G(τ). A special solution with two phantom scalar fields is analyzed and it is shown that in the vicinity of the point τ_0 the time variation of G(τ) (calculated in the linear approximation) decreases in the sequence of Lie algebras A_2, C_2 and G_2.

13 pages, LaTex, no figures

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• Black brane solutions governed by fluxbrane polynomials
• On generalized Melvin solution for the Lie algebra $E_6$
• On multidimensional cosmological solutions with scalar fields and 2-forms corresponding to rank-3 Lie algebras: acceleration and small variation of G